unfortunately the documented behaviour of the last waves of immigrants on their way to Germany does little to appease these fears
Regardless, >99% of the people who are coming to Europe right now are not future rapists.
according to whom? you don't get to claim FUD and make up bullshit in the same argument
"<1%" suicide terrorists as passengers on your B747 means you're dead.
If a society is not able to reduce this "<1%" to at least strict 0,001% by filtering and background checks, it should probably reject the remaining 99% too. This isn't fair to the rest of immigrants but otherwise it will not be fair to your own citizens.